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Finding the Third Proportional to 357,034 and 515,895

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Solution

The third proportional to 357,034 and 515,895 is: 745,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,034 : 515,895 = 515,895 : x
  2. Step 2: Convert to fraction form
    357,034/515,895 = 515,895/x
  3. Step 3: Cross multiply
    357,034x = 515,895 × 515,895
  4. Step 4: Simplify right side
    357,034x = 266,147,651,025
  5. Step 5: Solve for x
    x = 266,147,651,025/357,034
  6. Step 6: Final answer
    x = 745,440.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.